中图分类法:
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O156.7 版次: |
著者:
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Bugeaud, Yann, |
题名:
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Distribution modulo one and diophantine approximation / / , |
出版发行:
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出版地: Cambridge, UK ; 出版社: Cambridge University Press, 出版日期: 2012. |
载体形态:
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xvi, 300 p. : ill. ; 24 cm. |
内容提要:
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"This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution modulo one of the integral powers of 3/2 and the frequency of occurrence of each digit in the decimal expansion of the square root of two. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results. With numerous exercises, the book is ideal for graduate courses on Diophanti |